Width and finite extinction time of Ricci flow

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dc.creatorColding, Tobias H.
dc.creatorMinicozzi II, William P.
dc.date2007-07-01
dc.date.accessioned2026-07-07T08:13:17Z
dc.date.available2026-07-07T08:13:17Z
dc.descriptionThis is an expository article with complete proofs intended for a general non-specialist audience. The results are two-fold. First, we discuss a geometric invariant, that we call the width, of a manifold and show how it can be realized as the sum of areas of minimal 2-spheres. For instance, when $M$ is a homotopy 3-sphere, the width is loosely speaking the area of the smallest 2-sphere needed to ``pull over'' $M$. Second, we use this to conclude that Hamilton's Ricci flow becomes extinct in finite time on any homotopy 3-sphere. We have chosen to write this since the results and ideas given here are quite useful and seem to be of interest to a wide audience.
dc.identifierhttps://arxiv.org/abs/0707.0108
dc.identifierhttp://arxiv.org/abs/0707.0108
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132750
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.titleWidth and finite extinction time of Ricci flow
dc.typetext

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